Table of 270edo intervals

This table of 270edo intervals assumes the 13-limit patent val of 270edo ⟨270 428 647 758 934 999].

Step	Cents	Marks	5-limit	7-limit	11-limit	13-limit
0	0.0	P1	1/1	1/1	1/1	1/1
1	4.4		32805/32768	3136/3125	385/384	325/324
2	8.8		15625/15552	225/224	176/175	169/168
3	13.3		78732/78125	126/125	121/120	121/120
4	17.7		2048/2025	2048/2025	99/98	91/90
5	22.2		81/80	81/80	81/80	78/77
6	26.6		20000/19683	64/63	64/63	64/63
7	31.1		3125/3072	3125/3072	55/54	55/54
8	35.5		1594323/1562500	49/48	49/48	49/48
9	40.0		128/125	128/125	45/44	45/44
10	44.4		6561/6400	525/512	77/75	40/39
11	48.8		250/243	36/35	36/35	36/35
12	53.3		16875/16384	4096/3969	33/32	33/32
13	57.7		262144/253125	405/392	125/121	91/88
14	62.2		648/625	28/27	28/27	28/27
15	66.6		20480/19683	8192/7875	80/77	26/25
16	71.1		25/24	25/24	25/24	25/24
17	75.5		273375/262144	256/245	256/245	117/112
18	80.0		16384/15625	1875/1792	22/21	22/21
19	84.4		6561/6250	21/20	21/20	21/20
20	88.8	m2	256/243	256/243	81/77	81/77
21	93.3		135/128	135/128	132/125	96/91
22	97.7		62500/59049	200/189	128/121	55/52
23	102.2		78125/73728	3584/3375	35/33	35/33
24	106.6		524288/492075	625/588	625/588	117/110
25	111.1		16/15	16/15	16/15	16/15
26	115.5		2187/2048	2187/2048	77/72	77/72
27	120.0		3125/2916	15/14	15/14	15/14
28	124.4		140625/131072	672/625	189/176	130/121
29	128.8		32768/30375	2205/2048	264/245	14/13
30	133.3		27/25	27/25	27/25	27/25
31	137.7		64000/59049	1024/945	250/231	13/12
32	142.2		625/576	243/224	88/81	88/81
33	146.6		2125764/1953125	49/45	49/45	49/45
34	151.1		2048/1875	2048/1875	12/11	12/11
35	155.5		2187/2000	35/32	35/32	35/32
36	160.0		800/729	192/175	192/175	169/154
37	164.4		1125/1024	1125/1024	11/10	11/10
38	168.8		390625/354294	54/49	54/49	54/49
39	173.3		3456/3125	448/405	243/220	243/220
40	177.7		65536/59049	567/512	256/231	72/65
41	182.2		10/9	10/9	10/9	10/9
42	186.6		18225/16384	4096/3675	49/44	39/35
43	191.1		78125/69984	125/112	125/112	125/112
44	195.5		17496/15625	28/25	28/25	28/25
45	200.0		4096/3645	4096/3645	55/49	55/49
46	204.4	M2	9/8	9/8	9/8	9/8
47	208.8		200000/177147	640/567	640/567	44/39
48	213.3		15625/13824	2025/1792	112/99	112/99
49	217.7		177147/156250	245/216	245/216	143/126
50	222.2		256/225	256/225	25/22	25/22
51	226.6		729/640	729/640	154/135	154/135
52	231.1		2500/2187	8/7	8/7	8/7
53	235.5		9375/8192	3584/3125	55/48	55/48
54	240.0		524288/455625	147/128	147/128	147/128
55	244.4		144/125	144/125	121/105	121/105
56	248.8		59049/51200	4725/4096	231/200	15/13
57	253.3		125/108	81/70	81/70	81/70
58	257.7		151875/131072	512/441	297/256	65/56
59	262.2		32768/28125	3125/2688	64/55	64/55
60	266.6		729/625	7/6	7/6	7/6
61	271.1		2560/2187	1024/875	90/77	90/77
62	275.5		75/64	75/64	75/64	75/64
63	280.0		625000/531441	147/125	147/125	147/125
64	284.4		18432/15625	7168/6075	33/28	33/28
65	288.8		59049/50000	189/160	189/160	13/11
66	293.3	m3	32/27	32/27	32/27	32/27
67	297.7		1215/1024	1215/1024	196/165	108/91
68	302.2		15625/13122	25/21	25/21	25/21
69	306.6		78125/65536	448/375	105/88	105/88
70	311.1		65536/54675	1225/1024	176/147	140/117
71	315.5		6/5	6/5	6/5	6/5
72	320.0		19683/16384	2048/1701	77/64	65/54
73	324.4		3125/2592	135/112	135/112	135/112
74	328.8		472392/390625	98/81	98/81	98/81
75	333.3		4096/3375	4096/3375	40/33	40/33
76	337.7		243/200	175/144	147/121	147/121
77	342.2		8000/6561	128/105	128/105	39/32
78	346.6		625/512	625/512	11/9	11/9
79	351.1		1953125/1594323	49/40	49/40	49/40
80	355.5		768/625	768/625	27/22	27/22
81	360.0		19683/16000	315/256	154/125	16/13
82	364.4		100/81	100/81	100/81	100/81
83	368.8		10125/8192	8192/6615	99/80	26/21
84	373.3		390625/314928	243/196	150/121	150/121
85	377.7		3888/3125	56/45	56/45	56/45
86	382.2		8192/6561	5103/4096	96/77	81/65
87	386.6		5/4	5/4	5/4	5/4
88	391.1		164025/131072	784/625	441/352	351/280
89	395.5		78125/62208	1125/896	44/35	44/35
90	400.0		19683/15625	63/50	63/50	63/50
91	404.4		512/405	512/405	125/99	91/72
92	408.8	M3	81/64	81/64	81/64	81/64
93	412.2		25000/19683	80/63	80/63	33/26
94	417.7		15625/12288	7168/5625	14/11	14/11
95	422.2		1048576/820125	125/98	125/98	125/98
96	426.6		32/25	32/25	32/25	32/25
97	431.1		6561/5120	2625/2048	77/60	50/39
98	435.5		625/486	9/7	9/7	9/7
99	440.0		84375/65536	1568/1215	165/128	156/121
100	444.4		65536/50625	1323/1024	128/99	84/65
101	448.8		162/125	35/27	35/27	35/27
102	453.3		25600/19683	2048/1575	100/77	13/10
103	457.7		125/96	125/96	125/96	125/96
104	462.2		1366875/1048576	64/49	64/49	64/49
105	466.6		4096/3125	4096/3125	55/42	55/42
106	471.1		6561/5000	21/16	21/16	21/16
107	475.5		320/243	320/243	320/243	154/117
108	480.0		675/512	675/512	33/25	33/25
109	484.4		78125/59049	250/189	160/121	143/108
110	488.8		20736/15625	896/675	175/132	65/49
111	493.3		131072/98415	1701/1280	512/385	117/88
112	497.7	P4	4/3	4/3	4/3	4/3
113	502.2		10935/8192	8192/6125	147/110	147/110
114	506.6		15625/11664	75/56	75/56	75/56
115	511.1		104976/78125	168/125	121/90	121/90
116	515.5		8192/6075	8192/6075	66/49	35/26
117	520.0		27/20	27/20	27/20	27/20
118	524.4		80000/59049	256/189	256/189	65/48
119	528.8		3125/2304	1215/896	110/81	110/81
120	533.3		531441/390625	49/36	49/36	49/36
121	537.7		512/375	512/375	15/11	15/11
122	542.2		2187/1600	175/128	175/128	160/117
123	546.6		1000/729	48/35	48/35	48/35
124	551.1		5625/4096	5625/4096	11/8	11/8
125	555.5		1048576/759375	135/98	135/98	91/66
126	560.0		864/625	112/81	112/81	112/81
127	564.4		81920/59049	2835/2048	320/231	18/13
128	568.8		25/18	25/18	25/18	25/18
129	573.3		91125/65536	1024/735	245/176	39/28
130	577.7		65536/46875	625/448	88/63	88/63
131	582.2		4374/3125	7/5	7/5	7/5
132	586.6	d5	1024/729	1024/729	108/77	108/77
133	591.1		45/32	45/32	45/32	45/32
134	595.5		250000/177147	343/243	343/243	55/39
135	600.0		78125/55296	10125/7168	99/70	99/70
136	604.4		177147/125000	486/343	343/242	78/55
137	608.8		64/45	64/45	64/45	64/45
138	613.3	A4	729/512	729/512	77/54	77/54
139	617.7		3125/2187	10/7	10/7	10/7
140	622.2		46875/32768	896/625	63/44	63/44
141	626.6		131072/91125	735/512	352/245	56/39
142	631.1		36/25	36/25	36/25	36/25
143	635.5		59049/40960	4096/2835	231/160	13/9
144	640.0		625/432	81/56	81/56	81/56
145	644.4		759375/524288	196/135	196/135	132/91
146	648.8		8192/5625	8192/5625	16/11	16/11
147	653.3		729/500	35/24	35/24	35/24
148	657.7		3200/2187	256/175	225/154	117/80
149	662.2		375/256	375/256	22/15	22/15
150	666.6		781250/531441	72/49	72/49	72/49
151	671.1		4608/3125	1792/1215	81/55	81/55
152	675.5		59049/40000	189/128	189/128	65/44
153	680.0		40/27	40/27	40/27	40/27
154	684.4		6075/4096	6075/4096	49/33	49/33
155	688.8		78125/52488	125/84	125/84	125/84
156	693.3		23328/15625	112/75	112/75	112/75
157	697.7		16384/10935	6125/4096	220/147	175/117
158	702.2	P5	3/2	3/2	3/2	3/2
159	706.6		98415/65536	2560/1701	385/256	176/117
160	711.1		15625/10368	675/448	264/175	98/65
161	715.5		118098/78125	189/125	121/80	121/80
162	720.0		1024/675	1024/675	50/33	50/33
163	724.4		243/160	243/160	243/160	117/77
164	728.8		10000/6561	32/21	32/21	32/21
165	733.3		3125/2048	3125/2048	55/36	55/36
166	737.7		2097152/1366875	49/32	49/32	49/32
167	742.2		192/125	192/125	135/88	135/88
168	746.6		19683/12800	1575/1024	77/50	20/13
169	751.1		125/81	54/35	54/35	54/35
170	755.5		50625/32768	2048/1323	99/64	65/42
171	760.0		131072/84375	1215/784	256/165	121/78
172	764.4		972/625	14/9	14/9	14/9
173	768.8		10240/6561	4096/2625	120/77	39/25
174	773.3		25/16	25/16	25/16	25/16
175	777.7		820125/524288	196/125	196/125	196/125
176	782.2		24576/15625	5625/3584	11/7	11/7
177	786.6		19683/12500	63/40	63/40	52/33
178	791.1	m6	128/81	128/81	128/81	128/81
179	795.5		405/256	405/256	198/125	144/91
180	800.0		31250/19683	100/63	100/63	100/63
181	804.4		78125/49152	1792/1125	35/22	35/22
182	808.8		262144/164025	625/392	625/392	351/220
183	813.3		8/5	8/5	8/5	8/5
184	817.7		6561/4096	6561/4096	77/48	77/48
185	822.2		3125/1944	45/28	45/28	45/28
186	826.6		421875/262144	392/243	121/75	121/75
187	831.1		16384/10125	6615/4096	160/99	21/13
188	835.5		81/50	81/50	81/50	81/50
189	840.0		32000/19683	512/315	125/77	13/8
190	844.4		625/384	625/384	44/27	44/27
191	848.8		3188646/1953125	49/30	49/30	49/30
192	853.3		1024/625	1024/625	18/11	18/11
193	857.7		6561/4000	105/64	105/64	64/39
194	862.2		400/243	288/175	242/147	242/147
195	866.6		3375/2048	3375/2048	33/20	33/20
196	871.1		390625/236196	81/49	81/49	81/49
197	875.5		5184/3125	224/135	224/135	224/135
198	880.0		32768/19683	1701/1024	128/77	108/65
199	884.4		5/3	5/3	5/3	5/3
200	888.8		54675/32768	2048/1225	147/88	117/70
201	893.3		78125/46656	375/224	176/105	176/105
202	897.7		26244/15625	42/25	42/25	42/25
203	902.2		2048/1215	2048/1215	165/98	91/54
204	906.6	M6	27/16	27/16	27/16	27/16
205	911.1		100000/59049	320/189	320/189	22/13
206	915.5		15625/9216	6075/3584	56/33	56/33
207	920.0		531441/312500	245/144	245/144	143/84
208	924.4		128/75	128/75	75/44	75/44
209	928.8		2187/1280	875/512	77/45	77/45
210	933.3		1250/729	12/7	12/7	12/7
211	937.7		28125/16384	5376/3125	55/32	55/32
212	942.2		262144/151875	441/256	441/256	112/65
213	946.6		216/125	140/81	121/70	121/70
214	951.1		102400/59049	8192/4725	343/198	26/15
215	955.5		125/72	125/72	125/72	125/72
216	960.0		455625/262144	256/147	256/147	195/112
217	964.4		16384/9375	3125/1792	96/55	96/55
218	968.8		2187/1250	7/4	7/4	7/4
219	973.3		1280/729	1280/729	135/77	135/77
220	977.7		225/128	225/128	44/25	44/25
221	982.2		312500/177147	432/245	432/245	143/81
222	986.6		27648/15625	3584/2025	99/56	99/56
223	991.1		177147/100000	567/320	567/320	39/22
224	995.5	m7	16/9	16/9	16/9	16/9
225	1000.0		3645/2048	3645/2048	98/55	98/55
226	1004.4		15625/8748	25/14	25/14	25/14
227	1008.8		139968/78125	224/125	224/125	224/125
228	1013.3		32768/18225	3675/2048	88/49	70/39
229	1017.7		9/5	9/5	9/5	9/5
230	1022.2		59049/32768	1024/567	231/128	65/36
231	1026.6		3125/1728	405/224	405/224	405/224
232	1031.1		708588/390625	49/27	49/27	49/27
233	1035.5		2048/1125	2048/1125	20/11	20/11
234	1040.0		729/400	175/96	175/96	175/96
235	1044.4		4000/2187	64/35	64/35	64/35
236	1048.8		1875/1024	1875/1024	11/6	11/6
237	1053.3		1953125/1062882	90/49	90/49	90/49
238	1057.7		1152/625	448/243	81/44	81/44
239	1062.2		59049/32000	945/512	231/125	24/13
240	1066.6		50/27	50/27	50/27	50/27
241	1071.1		30375/16384	4096/2205	245/132	13/7
242	1075.5		262144/140625	625/336	225/121	121/65
243	1080.0		5832/3125	28/15	28/15	28/15
244	1084.4		4096/2187	4096/2187	144/77	144/77
245	1088.8		15/8	15/8	15/8	15/8
246	1093.3		492075/262144	1176/625	847/450	220/117
247	1097.7		78125/41472	3375/1792	66/35	49/26
248	1102.2		59049/31250	189/100	121/64	104/55
249	1106.6		256/135	256/135	125/66	91/48
250	1111.1	M7	243/128	243/128	154/81	154/81
251	1115.5		12500/6561	40/21	40/21	40/21
252	1120.0		15625/8192	3584/1875	21/11	21/11
253	1124.4		524288/273375	245/128	245/128	224/117
254	1128.8		48/25	48/25	48/25	48/25
255	1133.3		19683/10240	7875/4096	77/40	25/13
256	1137.7		625/324	27/14	27/14	27/14
257	1142.2		253125/131072	784/405	242/125	176/91
258	1147.7		32768/16875	3969/2048	64/33	64/33
259	1151.1		243/125	35/18	35/18	35/18
260	1155.5		12800/6561	1024/525	150/77	39/20
261	1160.0		125/64	125/64	88/45	88/45
262	1164.4		3125000/1594323	49/25	49/25	49/25
263	1168.8		6144/3125	6144/3125	55/28	55/28
264	1173.3		19683/10000	63/32	63/32	63/32
265	1177.7		160/81	160/81	160/81	77/39
266	1182.2		2025/1024	2025/1024	99/50	99/50
267	1186.6		78125/39366	125/63	125/63	125/63
268	1191.1		31104/15625	448/225	175/88	175/88
269	1195.5		65536/32805	3125/1568	768/385	648/325
270	1200.0	P8	2/1	2/1	2/1	2/1